NOTE ON NEWTON-TYPE INEQUALITIES INVOLVING TEMPERED FRACTIONAL INTEGRALS

Hezenci F., Budak H.

KOREAN JOURNAL OF MATHEMATICS, vol.32, no.2, pp.349-364, 2024 (ESCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.11568/kjm.2024.32.2.349
  • Journal Name: KOREAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.349-364
  • Kocaeli University Affiliated: No

Abstract

We propose a new method of investigation of an integral equality associated with tempered fractional integrals. In addition to this, several Newton-type inequalities are considered for differentiable convex functions by taking the modulus of the newly established identity. Moreover, we establish some Newton-type inequalities with the help of H & ouml;lder and power-mean inequality. Furthermore, several new results are presented by using special choices of obtained inequalities.